Math 151 Test #2
Name:_
Instructions:
Test is 50 minutes, closed book, no notes. There are 50 points possible.
You may use a TI-83 or TI-84 calculator. Calculators may not be shared.
Use the methods we have studied and show your work to get credit. State
Math 153 - Exam #1
Fall 2015
Name:_
You may use a calculator but no other electronic device. Show your work and justify your
conclusions unless directed otherwise.
1.
(3 points each) For each infinite series, indicate whether it is absolutely convergent (
Math 153 - Exam #1
Fall 2015
Name:_
You may use a calculator but no other electronic device. Show your work and justify your
conclusions unless directed otherwise.
1.
(3 points each) For each infinite series, indicate whether it is absolutely convergent (
Math 153 - Quiz #4
Fall 2015 - (10 points)
Name:_
Show your work and justify your conclusions if appropriate.
1.
(3 points) Use substitution and a known power series to find a power series for the
function below:
x2
1 x3
2.
c
2
(3 points) Find at least th
Math 153 - Exam #3
Fall 2015
Name:_
You may use a calculator but no other electronic device. Show your work and justify your
conclusions.
1.
(15 points) A plane needs to head due north and the plane travels at 200 miles per hour.
The wind of W = 40 i + 30
Math 153 - Exam #2
Fall 2015
Name:_
You may use a calculator but no other electronic device. Show your work and justify your
conclusions.
1.
(12 points each) For the series below, find the interval of convergence and radius of
convergence.
1 k x 1 k
k 4
Math 153 - Exam #1
Fall 2015
Name:_
You may use a calculator but no other electronic device. Show your work and justify your
conclusions unless directed otherwise.
1.
(3 points each) For each infinite series, indicate whether it is absolutely convergent (
Math 153 - Exam #3
Fall 2015
Name:_
You may use a calculator but no other electronic device. Show your work and justify your
conclusions.
1.
(15 points) A plane needs to head due north and the plane travels at 230 miles per hour.
The wind of W = 20 i + 35
Math 153 - Exam #3
Fall 2015
Name:_
You may use a calculator but no other electronic device. Show your work and justify your
conclusions.
1.
(15 points) A plane needs to head due north and the plane travels at 225 miles per hour.
The wind of W = -20 i - 3
Math 153 - Exam #2
Fall 2015
Name:_
You may use a calculator but no other electronic device. Show your work and justify your
conclusions.
1.
(12 points each) For the series below, find the interval of convergence and radius of
convergence.
1 k x 1 k
k 4
Math 153 - Exam #2
Fall 2015
Name:_
You may use a calculator but no other electronic device. Show your work and justify your
conclusions.
1.
(12 points each) For the series below, find the interval of convergence and radius of
convergence.
k 1
2.
2x 2
5 x
Math151 SectionB/C Name SiO/MiACOS
2.1 Activity: The Definition of the Derivative Group Members:
8 points
Due:
f (x) = 3x2 + 2x
a. Use the denition of the derivative to nd f ( 1).
, , 7 e , . MW 7
f M)"; (j) /1/,e/1 J M F Avg) h WWW
, ).: ,2/ U H
Mathematics 153 Calculus III
Spring 2008
Class Time and Location:
M-F 11:30am-12:20pm
MIC 137
Credits: 5
Prerequisites:
Math 152 with a grade of 2.0 or higher
Instructor:
David Adams
Office:
ALD 203 ([email protected] or 640-1387)
Office Hours:
10:30am-11:2
Math153 Final
Name:_
Show all your work in an organized and legible manner, boxing your answers wherever appropriate.
If there are any ambiguous questions, ask the instructor for clarification. You must follow these and
all other instructions carefully an
Mathematics 153 Calculus III
Spring 2008
Class Time and Location:
M-F 11:30am-12:20pm
MIC 137
Credits: 5
Prerequisites:
Math 152 with a grade of 2.0 or higher
Instructor:
David Adams
Office:
ALD 203 ([email protected] or 640-1387)
Office Hours:
10:30am-11:2
Math 207
Exam 1
Name:
1. Your exam contains 6 questions and 6 pages; Please make sure you have a complete exam.
2. The entire exam is worth 100 points. Point values vary and these are indicated on each problem. You
have 50 minutes for this exam.
3. Make s
Math 207
Final Exam Answers
1. (a) This equation is linear. After dividing by x2 , we can find an integrating factor is (x) = x4 .
Solution: y = 23 x2 + x1 + Cx4
(b) This is a separable equation.
Z
y 2 dy =
Z
x2 sec2 (x3 + 1) dx
Using substitution on the
Math 207
Exam 2
Name:
1. Your exam contains 5 questions and 6 pages; Please make sure you have a complete exam.
2. The entire exam is worth 100 points. Point values vary and these are indicated on each problem. You
have 50 minutes for this exam.
3. Make s
MATH 207: Elements of Differential Equations (Item 1483)
Fall Quarter 2010
Room 2911
11:30-12:20 Daily
Prerequisite: Math& 163 (formerly called Math 126) with a 2.0 or better, or instructor permission
Instructor: Nirmala Savage
Shoreline Community College
Math 207
Exam 2 Answers
1. Let A(t) = Amount of acid in the tank (in gallons) at t minutes
IVP:
dA
A
A
=
4(0.1)
2(
)
=
0.4
dt
200+2t
100+t ,
A(0) = 0.1(200) = 2 gallons
1800
This is a linear equation with solution A = 0.2(100 + t) 100+t
OR A =
dP
2. (a) I
Math 207
Final Exam
Name:
1. Your exam contains 6 questions and 9 pages; Please make sure you have a complete exam.
2. The entire exam is worth 100 points. Point values vary and these are indicated on each problem. You
have 1 hour and 50 minutes for this
Math 207
Exam 1 Answers
1. Yes
Using implicit differentiation:
dy
1 dy
1 + dx =
1+y 2 dx
dy
dy
1 + y 2 + (1 + y 2 ) dx = dx
dy
1 + y 2 + y 2 dx = 0
dy
3y
f
2. (a) Since we have dx = f (x, y) with f (x, y) = 10x 2 x with f and y continuous when
x = 1 and y
Differential Equations - Exam #1 Practice Problems
These practice problems are a collection from other exams from other instructors.
1. What can you conclude about the existence and uniqueness of the solution(s) to the initial
dy
value problem dx = y 1/3
Differential Equations - Practice Problems for the Last Three Weeks of Material
These practice problems are a collection from other exams from other instructors. They are good
practice, but do not encompass all of the material from the last three weeks. M
Math%152A%Fall%2014%Exam%1%Name_%
%
n
2
2i
1.%(4%points%)%Write% lim ln 4 + %as%a0efinite%integral.%Do0ot%evaluate.%
n
n
i=1 n
%
%
%
%
%
%
2
2.%(4%points%)%Write% x sin x dx %as%the%limit%of%a%Rieman%Sum,%where% xi %is%the%right%endpoint%of%the%
0
ithub
Math 152A
Fall 2014
(12 points each) Compute
a) u- substitution
b) trig substitution
c) partial fractions
Exam 2
x dx
4x
2
Name_
using the following methods
2. (12 points) Compute the following integrals.
dx
a) 2
x 4x 2 1
b)
1
0
xe2 x dx
3. (12 points ea
Math 152
Winter 2017
NAME:
100 points
Test 2
Show work in order to earn credit. You may use a calculator, but no notes, books, or other
resources. Give answers in exact (not decimal) form and use correct notation! Include units.
SA =
1.
[8 pts] SET
UP, bu
Math 152
Name _
8.3 Activity: Integrating with Partial Fractions
Group Members:_
6 points
_
Due:
_
For each of the following, decompose the integrand and evaluate the integral.
1. (#2)
2. (#8)
7x 9
x 1 x 3 dx
6 x2 x 1
x3 x dx
3. (#11)
11x 2 23x 6
x2 (
Math 152
Name _
8.2 Activity: Integration by Parts
Group Members:_
6 points
_
Due:
_
Evaluate the following integrals.
1.
xe dx
2.
x e
3.
ln xdx
4.
x e
x
2 2x
5 x3
dx
dx
2
5.
arcsin( x)dx
6.
e
x
(hint: see ex.4 in 8.2 if stuck)
sin( x) dx (hint: see ex